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SOVA2 [1]
4 years ago
8

Graph y greater than or equal to -x^2 + 1

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
6 0
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

First of all, we need to plot the equation:

y=-x^2+1

The graph of this equation is a parabola. The vertex of this parabola lies on the point (0, 1) and the x-intecepts are the points (-1, 0) and (1, 0). But the problem asks for the graph of<em> y greater than or equal to -x^2 + 1, </em>that is, the inequality:

y\geq -x^2+1

To find this, we choose a point on the Cartesian plane, say, (0, 0) and let's take a look to the inequality:

y\geq -x^2+1 \\ \\ 0\geq -(0)^2+1 \\ \\ 0\geq 1 \ False!

So the region does't contain point (0, 0), therefore the graph is the one shown below.

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A car's speedometer has a percent error of 5%. The speedometer currently shows that the car is traveling at a speed of 60 mph.
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Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = \dfrac{\textrm actual value - \textrm measured value}{\textrm measured value} × 100

So, \frac{5}{100} = \frac{x - 60}{60}

or,  \frac{5}{100} × 60 = x - 60

Or, 3 = x - 60

∴  x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

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3 years ago
Ron and Ben had a total of 700 playing cards. After Ron gave away 40% of his playing cards and Ben gave away 20% of his playing
allsm [11]
Ron had 140 picture cards more than Ben
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3 years ago
Leroi and Sylvia both put $300 in a savings account. Leroi decides he will put in an additional $60 each week. Sylvia decides to
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Answer: See explanation

Step-by-step explanation:

Here is the remainder of the question:

a. Who has more money after the first additional deposit? Explain.

b. Who has more money after the second additional deposit?

a. Amount put in savings account = $300

Leroi's amount after first week = $300 + $60 = $360

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They both have equal amount after the first week.

b. After the second deposit,

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Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432

Sylvia has more savings after the second week

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Seven more than the quotient of a number and 4 is 9​
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Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the am
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Answer:

It is A

Step-by-step explanation:

Your welcome

Let me know if you ever need help! :)

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